where we went wrong

 There were three options we had when we decided to make India an educated nation.

1. Take out a ruler, a lens, a thermometer or any measuring device and explore the external world.

2. Be in a meditative state realize the field inside and learn adaptive and learning skills.

3. Hop between external and internal world with a sway in mind and use imagination.

We failed because we followed the third. "If only we gave permission to manufacture motorbikes only in India; our petrol bills would have come down by third". The ifs and buts mentality grew up. The argumentative Indian was born. An Indian who thought he understood the problem and got into depression because his solution was not accepted.

I tried to popularize the second from 2010 onwards.

I cannot but stress more the importance of following my suggestions. There are no consultants coming from the west. There are no help guaranteed from the oil lobby. Those days of pre 2000 are gone. 

If the learned community of India are apprehensive of my methods, no problem. At least teach the guys PDCA, SWOT and OODA cycles. Plan, Do, Check and Act. Strength, Weakness, Opportunities and Threats. Observe, Orient, Decide and Act.

May better times arrive. I am waiting for Modi 3.0.

Good wishes.

food habits

The following is the most general habit when it comes to eating.

I am a vegetarian. I feel the opposite is true for me. Eat breakfast like a pauper, lunch like a prince and dinner like a king. Probably this is true for all vegans.

My point is there is so much of variance when it comes to just eating. What is + for some is - for other. And there are so many difference of opinions when it comes to other aspects of human life. My aim is to quantify this factor and put the +/- 0.5 to the human range.

That is what is my earlier expression is about.

my final statement 4

This is my final statement to the crude 2n! blog post that I made a few days back.

Hope you like this expression.

Have a nice day !!

my final statement 3

I have been using only my smartphone calculator for checking.  I did not try Wolfram alpha as I am unable to align with mathematical thoughts of Taylor series; when it comes to factorial of mine which I believe is of constant Pi.

I feel one can use consecutive numbers, halving and logarithms to base 10. In this factorial of mine.

I suggest macro adjustment and micro adjustment thereafter.

Macro adjustment for factorial of positive integers. 

Macro adjustment for factorial of numbers from 1 to 0. 

Micro adjustment. 

What about you guys? Did you try my crude 2n factorial formula? What are your ideas?

Do comments below. 

Have a nice day and happy Eid.

my final statement 2

 This one below is my final statement. This one is checked to a value of n from 1 to up to a million.

This formula is hardly anywhere near James Stirling formula. Stirling's approximate formula is far superior and far better than this.

Stirling's formula is an approximate formula. It gives n! approximately for decimal and huge huge numbers.

For accurate value of n! for decimal and positive integers use integral functions of e or integral functions of log.

Have a nice day !!

To get accurate information expression like below may be used . These values may be multiplied with n and 8 * pi may be subtracted. The value thus obtained may be raised to 1.0247. This is the required factor for this problem. 

Hope the matter is clear and complete from my side. Thanks 😊 🙏 .

Required range is hereby obtained.

And two simple calculations are also done.

This finishes the work in this topic.

my final statement

 My final say in the 2n! formula.

There are no proofs. 

But it has been observed. In the range online and smartphone calculator allows.

Hope you guys are enjoying the Sunday. Relax. And be prepared for a new week thereafter. The next week will have Eid. Now is the time of fasting for Muslims.

Have a nice time !!

my life in Ranchi

 

I wear company uniform.  Though it is not completely compulsory. 

My life is in township of SAIL Ranchi units. I have a Maruti Ignis car. I go to office before 9am. Then come back to residence in township for lunch after 1 pm. Then leave for office before 2 pm after a power nap.  I then leave office after 0530 pm and reach home. That's my day.

I have accountability.  Jamshedpur relationships. 

I am religious.  I try to follow my father's guidelines all the while.

gravity needed

 Newton explained it all. He made contributions which are super-human to say the least. 

Most of the mathematical equations we learnt work due to gravity. (My view.). The sine, cos, e, log. This is how I understand. Because if there is no gravity, then how can a building stand. If a building cannot stand then where is sine. 

However, pi is independent of gravity. (Again as I see it).

The n! factorial moves with e function or log function. And is calculated by integral e function and integral log functions. This calculation of n! is due to gravity. You may observe that the calculations due to n/(n+1)! is due to lifting weights. Lifting weights in gravity. Therefore the n! works there.

Now in my earlier post I gave the formula of n!. It is due to pi. And pi is non gravitational. Therefore, it cannot be expected that n! using the formula in my earlier post will strictly match the n! due to e and log and my earlier sigma function which are of gravity.

I hope I have not messed up things. I hope I am able to say my points clearly. And convey easily.

This is how I understand. If you find something wrong here, do convey in blog comments below.

Have a nice day !!

crude formula for 2n!

 

The formula is not exact. It is not even approximate. I want assistance from my blog readers to make it approximate. I also want my blog readers to try for less than 1 and greater than 0 factorials.

This formula is important. This is because the formula is correct only at n =pi near abouts.

The formula is correct when n = 3.06 and 2n is considered 6.2895. Below this value n has to be decreased to get 2n!. And above this value n has to be increased to get 2n! value. I am talking of positive integers.

Then this formula has to be corrected for 1 to 0 numbers.

There are 3 or 4 things to do to use the above factor. But as this is of pi, I will try in the coming days. 

You may also try as pi is nature constant.

Have a nice day !!

approximate n!

 

I came very near. But then this formula escaped my grasp. I was mad with the formulation of n!. I am now relieved that this formula was done. In history by James Stirling.

Have a nice day !!

happy Easter wishes

First of all happy Easter!!

Today I recollected what I did in August 2018. I did this experiment with dumbbells and I realized I got something worthwhile. 

Here is what I made a blog post of.

Well n by (n+1)! is really a great expression. It gives you any factorial.  Yes. But the answer is not same when compared with Euler e or Logarithmic series answers. Nevertheless the answer is worth noting as it is quite accurate.  Here are the Wolfram screenshots to review.  These are self explanatory. 5 factorial is 120. Factorial of (1/5) is 0.91816. I get 0.91818.

Actually the results are accurate. 

The other great thing is n by (n+1)! and it's series can be calculated using consecutive numbers. 

Jesus has blessed me today. I pray he blesses us you all with his love . May he guide us all to understand oneself and the nature surrounding us.

Good bye !!

wired to walk

One does not realize how one learnt to walk.

One does not realize how one learnt to talk.

I believe there are fields inside you which can make you see the floor and ceiling function. And they see the floor and ceiling function in Taylor series and its applications. When x is between 1 to infinity. And also when x is between 1 to 0. The x^n changes and n! changes.

I request my blog readers to see and appreciate the point that floor and ceiling values of n! can be seen with my method. People argue that the methods are so complex. Yes, that is true. But remember once as a child , you had difficulties even in writing A. Now you write sentences. So it is just practice.

Let peace prevail. May there be happiness.

Have a nice day !!

reading these two Kindle books

 I am reading the following ebooks nowadays.

It is tough to understand deep concepts.

I am reading this book because because I like "the approximate nature of humans" and many times not able to tolerate "the best approach methods of Artificial Intelligence".

This book is fairly easy to me.

I am reading this book because I want to develop cartoon type comics. Something on the lines of Tintin and Archies.

Which books are you reading these days ?

Do share your comments below.

i will be going ahead with approximations

I shall be going ahead with my approximations theory. On my own.

The following results do matter to me a lot. And I shall endeavor to find out why they are so.

Have a nice day !!

consecutive number theory is approximate

I had been working on consecutive number theory. I did not have relevant journals, books or a guru sitting beside me all these time. And I had deep mathematical thoughts. For example, I nearly reached Wallis pi in 2010. So what I did was explore mathematics as consecutive numbers theory. This was the best option. Also because I was alone most of the time.

I applied my thoughts on consecutive numbers. I made rational number series. I made 3 consecutive and 4 consecutive number theory. I got easy pi expressions. Easy because the partial sums were easy. 

It is "strange" that x squared decreases when x is less than 1 and greater than 0. Similarly x cubed, x to the power of 4 and so on. Euler and English mathematicians had expressions for this factor. In their e and log functions. Essentially what came across was decimal factorials. Decimal factorial exists and they "explain" the fact that x^n decreases when x is between 1 and 0.

Is consecutive numbers able to explain this phenomenon? x^n decreases when x is less than 1 and greater than zero? Also the decimal factorials?

In an approximate way, yes.

All in all, a man can truly explain the beauty and logic of the nature. Approximately. With his fingers.

That is all for now.

Have a great day ahead !! 

for nature function n!

 n! is nature blessed. And nature follows it. As gamma functions. 

n! is also used in imaginative problems as in combinations and permutations.

Do not be confused with decimal factorials. They are of gamma functions. 

Below are two expressions that can calculate gamma functions. These can be used for calculating n! as n! is nothing but gamma(n+1).

Keep solving your very own imaginative combinations and permutations problems. And when you think of decimal factorials think these are of gamma functions.

I think this way. And I hope this helps you too !!.

Have a nice day !! And keep smiling !!

floor and ceiling functions

 I asked Google the question "Are answers with floor and ceiling functions mathematical ?". The answer is "Yes".

I have a few expressions which may work well and can be considered mathematical. They however need floor and ceiling functions. 

So, all in all I do have valid mathematical statements. And they use floor or ceiling functions. The results are demonstrated with the help of Wolfram Alpha. Thank you, Wolfram Alpha.

Have a nice day !!

Leibniz calculus

Now that decimal factorial is clear to me, I shall endeavor in further learning. I understood the philosophy of 0.5!.Going  further ahead needs gamma functions,  e functions or log functions. That is because numbers are not simply 1,2,3 etc. 

I plan to learn Leibniz calculus.  I may buy a book on Leibniz calculus.  But for now it will be Wikipedia.

It has been a long journey.  2008 onwards. I kept going.  And today I am in a position to learn Leibniz calculus. 

I am literally worshipping the greats in mathematics.  Here is a photo of my notice board in my office room. 

Newton, Euler,  Gauss,  Abel, Taylor, Wallis.

Have a nice day !!

Factorials can be calculated

Factorials can be calculated with product of consecutive numbers of my type. However, the formula is different for odd and even. Here are the formulae.

So, functions like common permutation, common combination can all be calculated with consecutive numbers of my type.

Have a nice weekend. Don't forget to enjoy !!

This result

 

This approximation expression

 I present the following approximate expression.

Hope you like it.

Have a nice day !!

my theory of binomials

 

Hope you have a nice day !!

My formula

 Here is a formula that not only integrates sigma and product; but also regular binomial of the type combination(n,r) with combination(2n,n).

Hope you have liked the expression.

Have a nice day !!

here is one sigma product equivalence

 Here is one sigma and product equivalence expression. This is an exact expression. 

The expression

And the Wolfram Alpha expressions to confirm that the expression is true.

Hope you like the above expression.

Have a nice day !!

An approximate expression

 For very large values of k, the following is approximately true

Hope you like it.

Have a nice day !!

The best Sigma and product equivalence

 This one is the best sigma product equivalence

Have a nice day !!

Sigma and Product equivalence

 Here is an expression for sigma product equivalence

Have a nice day !!

A deep desire

 There was a deep desire to make binomial sort of expression with combination(2n,n). I have fulfilled the desire now.

Here is the formula

Here are the Wolfram Alpha screenshots to confirm the above expression

Have a nice day !!